Chaos synchronization for a class of discrete dynamical systems on the N-dimensional torus

In this paper, a class of dynamical systems on TNTN (the N  -dimensional torus) is investigated. It is proved that any dynamical system in this class is chaotic in the sense of Devaney, and that the sequences produced are equidistributed for almost every initial data. The above results are then extended to switched affine transformations of TNTN. Next, a chaos-synchronization mechanism is introduced and used for masking information in a communication setup.